en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5^{-2}*5^{-1}

Solution

simplify

5^{- 2} \cdot 5^{- 1}

Solution

\frac{1}{125}

+1

Decimal Notation

0.008

Solution steps

5^{- 2} \cdot 5^{- 1}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{- 2} \cdot 5^{- 1} = 5^{- 2 - 1}

= 5^{- 2 - 1}

Subtract the numbers:

- 2 - 1 = - 3

= 5^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

5^{- 3} = \frac{1}{5 ^{3}}

= \frac{1}{5 ^{3}}

5^{3} = 125

= \frac{1}{125}

Popular Examples

simplify 0^n simplify

0^{n}

simplify sqrt(3)sqrt(4)simplify

34

simplify 4*42 simplify

4 \cdot 42

simplify 10^{-2.9}simplify

1 0^{- 2.9}

simplify (4.99^2-25)/(4.99-5)simplify

\frac{4.9 9 ^{2} - 25}{4.99 - 5}

Frequently Asked Questions (FAQ)

What is 5^{-2}*5^{-1} ?
The solution to 5^{-2}*5^{-1} is 1/125